Respuesta :

Answer:

[tex]\mathsf{ y=\dfrac{11}{4}x+18}[/tex]

Step-by-step explanation:

[tex]\mathsf{(x_1,y_1)=(-4,7)}[/tex]

[tex]\mathsf{(x_2,y_2)=(-8,-4)}[/tex]

[tex]\mathsf{slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-7}{-8+4}=\dfrac{11}{4}}[/tex]

[tex]\mathsf{y-y_1=m(x-x_1)}[/tex]

[tex]\mathsf{\implies y-7=\dfrac{11}{4}(x+4)}[/tex]

[tex]\mathsf{\implies y=\dfrac{11}{4}x+18}[/tex]